Phase Transitions Of The Second Order Collective Variables Method
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Phase Transitions Of The Second Order Collective Variables Method
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Author : Yukhnovs'kii I R
language : en
Publisher: World Scientific Publishing Company
Release Date : 1987-10-01
Phase Transitions Of The Second Order Collective Variables Method written by Yukhnovs'kii I R and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-10-01 with Science categories.
This book gives an original and up-to-date theory of the second order phase transitions based on the effective functional integral method. Unlike previous works, this theory is constructed ab initio, leading to a consistent description starting from the basic principles of statistical physics. The author introduces a new basic density measure, different from the Gaussian one, to describe the fluctuation in the system in the vicinity of the phase transition point. A new efficient method for partition function integration over the phase space layers is shown, as well as complete solutions of the recursion relations. For the first time, equations are found for the critical temperature and analytical calculations are accompanied by accurate numerical computations. The extensions of the theory for the cases of binary alloys and n-component Stanley model are considered and the collective variables representation for the cluster ferroelectric model are obtained. This modern theory of the phenomena at the second order phase transitions is a breakthrough in this area and would make an exceptionally valuable book for scientists, as well as an important textbook for postgraduates and undergraduates.
Phase Transitions Of The Second Order Collective Variables
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Author : Igor' Rafailovich IUkhnovskii
language : en
Publisher:
Release Date : 1987
Phase Transitions Of The Second Order Collective Variables written by Igor' Rafailovich IUkhnovskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
The Physics Of Structural Phase Transitions
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Author : Minoru Fujimoto
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
The Physics Of Structural Phase Transitions written by Minoru Fujimoto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Science categories.
Intended for readers with some prior knowledge of condensed-matter physics, this text emphasises the basic physics behind spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the author discusses the nature of order variables and their collective motion in a crystal lattice. He also goes on to describe experimental methods for modulated crystal structures and gives examples of structural changes in representative systems. Both a graduate text and reference work.
Theory Of Phase Transitions
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Author : Ya. G. Sinai
language : en
Publisher: Elsevier
Release Date : 2014-05-20
Theory Of Phase Transitions written by Ya. G. Sinai and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-20 with Science categories.
Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The notions of a ground state of a Hamiltonian and the stability of the set of the ground states of a Hamiltonian are also introduced. Chapter 3 presents the basic theorems about lattice models with continuous symmetry, and Chapter 4 focuses on the second-order phase transitions and on the theory of scaling probability distributions, connected to these phase transitions. Specialists in statistical physics and other related fields will greatly benefit from this publication.
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 2
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2007-07-05
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 2 written by Yurij Holovatch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-05 with Science categories.
This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its 'golden age' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject.
Lectures On Phase Transitions
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Author : V. I. Yukalov
language : en
Publisher: World Scientific
Release Date : 1990
Lectures On Phase Transitions written by V. I. Yukalov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
This book treats the problem of phase transitions, emphasizing the generality and universality of the methods and models used. The course is basically concentrated on the problems of vacuum degeneration in macroscopic systems and a fundamental concept of quasiaverages by Bogolubov playing a special role in the theory of phase transitions and critical phenomena. An analysis of the connection between phase transition and spontaneous symmetry breaking in a macroscopic system allows a unique description of both first- and second-order phase transitions.The unique features of this book are: (i) a unique approach of describing first ? as well as second-order phase transitions, based on the Bogolubov concept of quasi-averages.(ii) a detailed presentation of the material and at the same time a review of modern problems.(iii) a general character of developed ideas that could be applied to various particular systems of condensed matter physics, nuclear physics and high-energy physics.
Elements Of Phase Transitions And Critical Phenomena
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Author : Hidetoshi Nishimori
language : en
Publisher: Oxford University Press
Release Date : 2011
Elements Of Phase Transitions And Critical Phenomena written by Hidetoshi Nishimori and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 3
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2012-08-29
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 3 written by Yurij Holovatch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Science categories.
This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, which experienced its ‘golden age’ during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.This volume presents a broad spectrum of problems connected with criticality. It covers its theoretical backgrounds, analytical approaches and numerical simulations to describe criticality in specific systems (ionic fluids, diluted magnets, polymers), as well as phase transitions on complex networks and in the minority game model. As the first two volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject.
Phase Transitions And Crystal Symmetry
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Author : Yurii Aleksandrovich Izyumov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Phase Transitions And Crystal Symmetry written by Yurii Aleksandrovich Izyumov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.
Phase Transitions For Beginners
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Author : Stishov Sergei M
language : en
Publisher: World Scientific
Release Date : 2018-10-02
Phase Transitions For Beginners written by Stishov Sergei M and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-02 with Science categories.
Written by an experimentalist famous for his discovery of stishovite, with vast experience in phase transition studies, this book is devoted to a description of the continuous and discontinuous phase transitions. It includes chapters outlining the Van der Waals model, hard sphere and soft sphere models of melting, scaling phenomena, renormgroup approach to phase transitions, and experimental examples to illustrate various phase transitions.Unlike conventional books covering the same topic, this is meant for undergraduate students and experimentalists to understand basic concepts in the physics of phase transitions.